SINGLE-PARTICLE GREEN-FUNCTION OF THE 1D HUBBARD-MODEL

For the one-dimensional Hubbard model we extended the bosonization tec hnique, away from half filling, in such a way that a general formula i s obtained for the zero temperature equal-time single-particle Green f unction with validity over the whole doping range. With our method we can calculate, for the first time, the one-body Green function in both the Tomonaga-Luttinger and Luther-Emery universality classes, to char acterize the crossover between these two behaviors and thus, to descri be the Mott transition. The method also gives a tool to determine the coefficients of the correlation functions which cannot be determined w ith previously used methods.